Information on Result #693446
Linear OA(2543, 15625, F25, 15) (dual of [15625, 15582, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2546, 15628, F25, 16) (dual of [15628, 15582, 17]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(2543, 15628, F25, 15) (dual of [15628, 15585, 16]-code) | [i] | ✔ | |
| 3 | Linear OA(2554, 15636, F25, 18) (dual of [15636, 15582, 19]-code) | [i] | ✔ | |
| 4 | Linear OA(2545, 15636, F25, 15) (dual of [15636, 15591, 16]-code) | [i] | ✔ | |
| 5 | Linear OA(2562, 15644, F25, 20) (dual of [15644, 15582, 21]-code) | [i] | ✔ | |
| 6 | Linear OA(2547, 15644, F25, 15) (dual of [15644, 15597, 16]-code) | [i] | ✔ | |
| 7 | Linear OA(2570, 15651, F25, 22) (dual of [15651, 15581, 23]-code) | [i] | ✔ | |
| 8 | Linear OA(2571, 15653, F25, 22) (dual of [15653, 15582, 23]-code) | [i] | ✔ | |
| 9 | Linear OA(2549, 15651, F25, 15) (dual of [15651, 15602, 16]-code) | [i] | ✔ | |
| 10 | Linear OA(2550, 15653, F25, 15) (dual of [15653, 15603, 16]-code) | [i] | ✔ | |
| 11 | Linear OA(2581, 15663, F25, 24) (dual of [15663, 15582, 25]-code) | [i] | ✔ | |
| 12 | Linear OA(2586, 15668, F25, 26) (dual of [15668, 15582, 27]-code) | [i] | ✔ | |
| 13 | Linear OA(2590, 15672, F25, 27) (dual of [15672, 15582, 28]-code) | [i] | ✔ | |
| 14 | Linear OA(2594, 15676, F25, 28) (dual of [15676, 15582, 29]-code) | [i] | ✔ | |
| 15 | Linear OA(2599, 15681, F25, 29) (dual of [15681, 15582, 30]-code) | [i] | ✔ | |
| 16 | Linear OA(25103, 15685, F25, 30) (dual of [15685, 15582, 31]-code) | [i] | ✔ | |
| 17 | Linear OA(2572, 15655, F25, 22) (dual of [15655, 15583, 23]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 18 | Linear OOA(2543, 2232, F25, 15, 15) (dual of [(2232, 15), 33437, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |